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Mariulka [41]
3 years ago
13

Find the values of x and y

Mathematics
1 answer:
Readme [11.4K]3 years ago
3 0

y=5

x=30

Explanation: since all 3 angles of triangles are marked equal we can see that it is equilateral which means 8y=40 so y=5. Then we can find that the other triangle is an 120 30 30 triangle thus x is 30. You can also do this if you can see straight away that the big triangle is a 30-60-90 triangle and just use 90-60.

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Answer:

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3 years ago
Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.
Ne4ueva [31]

The given geometric series as shown in the question is seen to; Be converging with its' sum as 81

<h3>How to identify a converging or diverging series?</h3>

We are given the geometric series;

27 + 18 + 12 + 8 + ...

Now, we see that;

First term; a₀ = 27

Second Term; a₁ = 2(27/3)

Third term; a₂ = 2²(27/3²)

Fourth term; a₃ = 2³(27/3³)

Thus, the formula is;

2ⁿ(27/3ⁿ)

Applying limits at infinity gives;

2^(∞) * (27/3^(∞)) = 0

Since the  terms of the series tend to zero, we can affirm that the series converges.

The sum of an infinite converging series is:

S_n = a/(1 - r)

S_n = 27/(1 - (2/3)

S_n = 81

Read more about converging or diverging series at; brainly.com/question/15415793

#SPJ1

6 0
2 years ago
The school store has 1500 pencils in stock and sells an average of 20
Bad White [126]

it is true the number of day are dependent it depend on the pencils

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A right angle and an isosceles triangle is always sometimes or never true
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Answer: sometimes!

Step-by-step explanation: I hope this helps!

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What is 12x + 6y = 24 for ?
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It is fore multiple things. if thats your quiestion. y can =4 and x=0, or x can = 2 and y=0.
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